具有平衡增益和损耗的拓扑量子线
Topological quantum wires with balanced gain and loss
摘要：
本文研究了一维拓扑超导体Kitaev链在非厄米但$\mathcal{PT}$对称势作用下的运动。该电势在系统中引入等量的增益和损耗。我们表明，拓扑相位的稳定性的增益/损失强度的影响，并明确推导出体积拓扑不变量的二分晶格以及计算相应的相图，使用分析和数值方法。此外，我们发现，边缘状态是指数本地化的两端附近的导线，尽管存在的增益和损失的概率振幅在该地区。
英文摘要：
We study a one-dimensional topological superconductor, the Kitaev chain, under the influence of a non-Hermitian but $\mathcal{PT}$-symmetric potential. This potential introduces gain and loss in the system in equal parts. We show that the stability of the topological phase is influenced by the gain/loss strength and explicitly derive the bulk topological invariant in a bipartite lattice as well as compute the corresponding phase diagram using analytical and numerical methods. Furthermore we find that the edge state is exponentially localized near the ends of the wire despite the presence of gain and loss of probability amplitude in that region.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
